The price of an article was increased by r%. Later the new

The price of an article was increased by r%. Later the new price was decreased by r%. If the latest price was 1, then the original price was :

Let the initial value be A.
When it is increased by r% it becomes :

A + r% of A =	A (r + 100)
	100

Now, when it is decreased by r%, it becomes

	A (r + 100)	– % of
	100

	A (r + 100)
	100

=	A(r + 100)			1 -	r
	100				100

=	A(r + 100)(r - 100)
	10000

∴ A			10000 - r²		= 1
			10000

⇒ A = ₹			10000
			10000 - r²